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Finding the Fourth Proportional to 31,413.84, 47,126.54 and 10,355.14

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Solution

The fourth proportional to 31,413.84, 47,126.54 and 10,355.14 is: 15,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.84 : 47,126.54 = 10,355.14 : x
  2. Step 2: Convert to fraction form
    31,413.84/47,126.54 = 10,355.14/x
  3. Step 3: Cross multiply
    31,413.84x = 47,126.54 × 10,355.14
  4. Step 4: Simplify right side
    31,413.84x = 488,001,919.42
  5. Step 5: Solve for x
    x = 488,001,919.42/31,413.84
  6. Step 6: Final answer
    x = 15,534.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.